Geodesic
Simulation of MHD instabilities of low resistive plasma in tokamak
Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 86-97.

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The numerical method for the study of tearing modes instability is presented for toroidal plasma. The construction of the method takes into account the asymptotical behaviour of the solution near the resonant points. It is possible to get the correct results in the calculations for high magnetic Reinolds number of the order $10^{-8}$–$10^{-10}$. The results of the stability simulation are presented for the lowest poloidal harmonics $m=1,2$ of the $n=1$ mode in toroidal geometry of plasma with high $\beta_p$. 
@article{MM_1990_2_2_a6,
     author = {E. V. Ilyna and {\CYRA}. V. Pedorenko and A. M. Popov},
     title = {Simulation of {MHD} instabilities of low resistive plasma in tokamak},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {86--97},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_2_a6/}
}
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E. V. Ilyna; А. V. Pedorenko; A. M. Popov. Simulation of MHD instabilities of low resistive plasma in tokamak. Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 86-97. http://geodesic.mathdoc.fr/item/MM_1990_2_2_a6/